Basic Definition: sets written using {}, element of set E, not element of a set E, name sets with capital letters (ex. S), infinite set=unending list of distinct elements, finite set=limited number of elements, natural (counting) numbers, ellipsis points (…) the list of elements of the set continues according to the established pattern, a variable (ex. x) an arbitrary element of the set (set builder notation)

Operations on Sets: Let A and B be sets, with unversal set U.

complement: A’ = {x|x E U, x E A}

intersection: A ^ B = {x|x E A and x E B}

union: A U B = {x|x E A or x E B}

Real Numbers and their properties: A number set with only positives is Natural, add Zero (0) and it becomes set Whole, add negative natural numbers, it gives Integers. Divide 2 non-zero integers to get a rational number. Real numbers are on the number line. Irrational numbers cannot be represented as quotients of integers.